Abstract
In the paper positive fractional continuous-time linear systems are considered. Positive fractional systems without delays and positive fractional systems with a single delay in control are studied. New criteria for approximate and exact controllability of systems without delays as well as a relative controllability criterion of systems with delay are established and proved. Numerical examples are presented for different controllability criteria. A practical application is proposed.
| Original language | English |
|---|---|
| Pages (from-to) | 29-51 |
| Number of pages | 23 |
| Journal | Archives of Control Sciences |
| Volume | 31 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2021 |
Keywords
- Controllability
- Delay
- Fractional systems
- Positive systems
- The Caputo derivative
- The Metzler matrix
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization
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